We haven’t seen anything to confirm that this show is contemporaneous with the other Arrowverse shows. I have started to suspect that Superman and Lois has so far been taking place a few years before Crisis, and is in the parallel universe where Supes and Lois had twins all along. They have not yet been merged with the “Earth-1” S & L who more recently had a single infant while staying at Argo City. I am very curious about what will occur in the episode when David Ramsey guest stars. Will he be the Arrowverse’s John Diggle, as when he showed up on Batwoman recently, or might he show up as John Stewart, ring and all?
Heck, if the merge is still to come, John Henry Irons might even get his daughter back.